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Plane incompressible fluid flow past an array of arbitrary profiles vibrating with arbitrary phase shift

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Abstract

We consider the problem of the vibration of an array of arbitrary profiles with arbitrary phase shift. Account is taken of the influence of the vortex wakes. The vibration amplitude is assumed to be small. The problem reduces to a system of two integral Fredholm equations of the second kind, which are solved on a digital computer. An example calculation is made for an array of arbitrary form.

A large number of studies have considered unsteady flow past an array of profiles. Most authors either solve the problem for thin and slightly curved profiles or they consider the flow past arrays of thin curvilinear profiles [1].

In [2] a study is made of the flow past an array of profiles of arbitrary form oscillating with arbitrary phase shift in the quasi-stationary formulation. The results are reduced to numerical values. Other approaches to the solution of the problem of unsteady flow past an array of profiles of finite thickness are presented in [3–5] (the absence of numerical calculations in [3, 4] makes it impossible to evaluate the effectiveness of these methods, while in [5] the calculation is made for a symmetric profile in the quasi-stationary formulation).

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References

  1. V. E. Saren, “Unsteady incompressible fluid flow past a cascade of thin curved profiles”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 1, 1966.

  2. G. S. Samoilovich, “On the calculation of the unsteady flow around an array of arbitrary profiles vibrating with arbitrary phase shift”, PMM, vol. 25, no. 1, 1962.

  3. G. Yu. Stepanov, Hydrodynamics of Turbomachinery Cascades [in Russian], Fizmatgiz, Moscow, 1962.

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  4. V. B. Kurzin, “On the aerodynamic interference of profiles in subsonic unsteady flow”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 1, 1966.

  5. V. E. Saren, “An array of arbitrary vibrating profiles in incompressible fluid flow”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 3, 1968.

  6. Z. Kazimirski, “Plaski przeplyw przez osiowy stopien maszyny przeplywowej o dowolnych parametrach geometrycznych”, Arch. budowy maszym, no. 2, 1966.

  7. I. V. Sukharevskii, “On effective calculation of the flow velocity and circulation for potential flow past a cascade”, Tr. Khar'kovsk. politekhn. in-ta im. V. I. Lenina, vol. 5, no. 1, 1955.

  8. B. E. Kapelovich and G. S. Samoilovich, “Overall characteristics of quasi-stationary flow past an array of arbitrary profiles oscillating with arbitrary phase shift”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 1, 1967.

  9. M. I. Zhukovskii, Calculating the Flow Past Cascades of Turbomachinery Profiles [in Russian], Mashgiz, Moscow, 1960.

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Authors and Affiliations

  1. Moscow

    Z. B. Kazimirski, V. V. Nitusov & G. S. Samoilovich

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  1. Z. B. Kazimirski
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  2. V. V. Nitusov
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  3. G. S. Samoilovich
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Kazimirski, Z.B., Nitusov, V.V. & Samoilovich, G.S. Plane incompressible fluid flow past an array of arbitrary profiles vibrating with arbitrary phase shift. Fluid Dyn 3, 30–35 (1968). https://doi.org/10.1007/BF01029533

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